How do you simplify $4sinx + 5sin6x$ ?

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Answer 1 · 2018-06-17T17:36:42

$"The Exp."=2sinx{2+5cosx(3-16sin^2x+16sin^4x)}$ .

$"The Expression"=4sinx+5sin6x$ ,

$=4sinx+5(2color(red)(sin3x)color(blue)(cos3x))$ ,

$=4sinx+10color(red)((3sinx-4sin^3x))color(blue)((4cos^3x-3cosx))$ ,

$=4sinx+10{sinx(3-4sin^2x)}{cosx(4cos^2x-3)}$ ,

$=4sinx+10sinxcosx(3-4sin^2x)(4cos^2x-3)$ ,

$=4sinx+10sinxcosx(3-4sin^2x){4(1-sin^2x)-3}$ ,

$=4sinx+10sinxcosx(3-4sin^2x)(1-4sin^2x)$ ,

$=4sinx+10sinxcosx(3-16sin^2x+16sin^4x)$ .

$rArr"The Exp."=2sinx{2+5cosx(3-16sin^2x+16sin^4x)}$ .

How do you simplify 4sinx + 5sin6x 4sinx + 5sin6x ?